Details

Time bar (total: 13.4s)

sample80.0ms

Algorithm
intervals
Results
41.0ms488×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize40.0ms

Local error

Found 2 expressions with local error:

18.9b
(/ (* z z) (* t t))
19.2b
(/ (* x x) (* y y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
14.0ms
(/ (* z z) (* t t))
20.0ms
(/ (* x x) (* y y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (* z z) (* t t))
41.0ms
(/ (* x x) (* y y))

simplify1.5s

Counts
48 → 48
Iterations

Useful iterations: 2 (395.0ms)

IterNodesCost
090538
1319522
23459356
done5002356

prune149.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
19.2b
(/ (* x x) (* y y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv
4×unswap-sqr
2×add-log-exp
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
38.0ms
(* (/ z t) (/ z t))
16.0ms
(/ (* x x) (* y y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (/ z t) (/ z t))
41.0ms
(/ (* x x) (* y y))

simplify2.1s

Counts
94 → 94
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01531119
15481029
24190862
done5002841

prune306.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
34×add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
5×prod-exp cbrt-unprod unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up add-log-exp
1×frac-times associate-*r/ associate-*l/
Counts
2 → 92
Calls
2 calls:
38.0ms
(* (/ z t) (/ z t))
12.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series54.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (/ z t) (/ z t))
11.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify2.7s

Counts
98 → 98
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01361177
14671004
23548873
done5000822

prune348.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
10.9b
(sqrt (fabs (/ x y)))
10.9b
(sqrt (fabs (/ x y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
39×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
15×pow1
13×swap-sqr associate-*r* associate-*l*
12×sqrt-prod
6×unpow-prod-down cube-prod
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×rem-sqrt-square
1×pow2 cube-mult frac-times pow-to-exp pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 125
Calls
4 calls:
40.0ms
(* (/ z t) (/ z t))
7.0ms
(pow (sqrt (fabs (/ x y))) 3)
2.0ms
(sqrt (fabs (/ x y)))
2.0ms
(sqrt (fabs (/ x y)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ z t) (/ z t))
32.0ms
(pow (sqrt (fabs (/ x y))) 3)
14.0ms
(sqrt (fabs (/ x y)))
29.0ms
(sqrt (fabs (/ x y)))

simplify2.6s

Counts
137 → 137
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01581473
15441270
236681155
done50011134

prune335.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes531.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01320
11520
done1520

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s15439×body80valid